PDE: Haberman vs Bleecker vs Asmar

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SUMMARY

The discussion compares three mathematical texts: "Applied Partial Differential Equations" by Haberman, "Partial Differential Equations" by Bleecker, and "Partial Differential Equations" by Asmar. Haberman is recommended for its comprehensive coverage of transform techniques, Green's functions, quasilinear methods, and dispersive waves. Bleecker is suitable for those focused on separation of variables but is considered less comprehensive. The Asmar text is noted to have deficiencies in certain areas, making it the least favorable option among the three.

PREREQUISITES
  • Understanding of partial differential equations (PDEs)
  • Familiarity with transform techniques
  • Knowledge of Green's functions
  • Basic concepts of quasilinear methods and dispersive waves
NEXT STEPS
  • Study "Applied Partial Differential Equations" by Haberman for advanced techniques
  • Explore "Partial Differential Equations" by Bleecker for separation of variables
  • Research Green's functions and their applications in PDEs
  • Investigate quasilinear methods and their role in dispersive wave analysis
USEFUL FOR

Students and professionals in mathematics, engineering, and physics who are studying or applying partial differential equations, particularly those seeking to deepen their understanding of advanced techniques and methods.

onestudent
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Is there anyone who has read some of the mentioned texts and can say a few words about how they differ?
 
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I've read Haberman and looked at Bleecker. If your interested in separation of variables then Bleecker book will be fine. If you are also interested in transform techniques, green's functions, quasilinear methods and dispersive waves then you'd probably be better suited to using Haberman. Not familiar with Asmer.
 
I own all three books and I definitely recommend Haberman. The Asmar book lacks in some areas and Bleecker is just so-so.
 

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